Exercise 27 Page 174

The above tells us that all values less than 1 37 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that c cannot equal 1 37, which we show with an open circle on the number line.

Checking Our Solution

We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.

We can conclude that, as long as c is less than 1 37, the inequality is satisfied.